A 48.5 The answer is A because you would put the numbers in order from least to greatest, find the median, then find the median of the other two sets.

7 0

3 years ago

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Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in the Milky Way Gala

umka21 [38]

Answer:

a) 0.264

b) 48 cubit light-years

Step-by-step explanation:

For calculating a) What is the probability of 3 or more stars in 16 cubic light years?

λ= 1 star/16 cubic light-years

t= measure t in units of 16 cubic light years.

E(Y) = λ t = (1/16)(16) = 1 star

P(X>=2) = 1 - P(X<2)

= 1 - [e^-1 + (e^-1)(1)/1!]

= 0.264

P(X≥1) = 1 - P(X=0)

= 1 - e^-μ

0.95 = 1 - e^-μ

e^-μ = 1 - 0.95

e^-μ = 0.05

ln(e^-μ) = ln(0.05)

-μ = -3

μ = 3

Therefore 3 x 16 = 48 cubic light years of space

4 0

3 years ago

Question 2 (5 points)

IrinaK [193]

Answer:

$x - y + 5 = 0$

Step-by-step explanation:

Given:

Line passes through (-2,3) and (2,7)

Required:

Find the equation of the line

The equation of the line passing through two points is given by

$\frac{y-y_{1} }{y_{2}- y_{1} } =\frac{x_{}- x_{1} }{x_{2} -x_{1} }$

So, $\frac{y-3}{7-3} =\frac{x-(-2))}{2-(-2)}$

$\frac{y-3}{4} =\frac{x+2}{2+2}$

$\frac{y-3}{4} =\frac{x+2}{4}$

Now, $y-3 = x+2$

On rearranging,

$x - y + 3 + 2 = 0x - y + 5 = 0$

Therefore, the equation of the line is $x - y + 5 = 0.$

5 0

2 years ago